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Finding the Fourth Proportional to 202,977.30, 304,465.95 and 55,233.30

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Solution

The fourth proportional to 202,977.30, 304,465.95 and 55,233.30 is: 82,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,977.30 : 304,465.95 = 55,233.30 : x
  2. Step 2: Convert to fraction form
    202,977.30/304,465.95 = 55,233.30/x
  3. Step 3: Cross multiply
    202,977.30x = 304,465.95 × 55,233.30
  4. Step 4: Simplify right side
    202,977.30x = 16,816,659,156.14
  5. Step 5: Solve for x
    x = 16,816,659,156.14/202,977.30
  6. Step 6: Final answer
    x = 82,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.